The BenQ TK800 is, first and foremost, a 4K Capable 4K UHD projector claiming 3,000 lumens and relying on a typical lamp design. It is one of BenQ’s two models using Texas Instruments “entry level” 4K UHD DLP chip (1920x1080 x4), which is a pixel shifter. That makes it most similar to 1920x1080 x2 pixel shifters in resolution (ie. Epson and JVC), from a perceived sharpness standpoint.
And it should have the advantage in that regard. Most of that advantage comes from the single chip design – no 3 panels to align. Still, others, such as the Epson 5040UB, may seem every bit as sharp – or even sharper, due to how good their detail enhancement and sharpening processing is.